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alekssr [168]
3 years ago
5

What is the value of y when x=7?

Mathematics
2 answers:
Gwar [14]3 years ago
5 0
The value of y would be 60

The way you would solve this is by plugging in 7 for x.
After you plug in the 7 for x you would have to multiply 7 by 4 to get 28.
Next you would add 28 to 32 to get 60.
Your final answer should be y=60
Ksju [112]3 years ago
4 0
Y = 4x + 32                                       1. write the equation
y = 4(7) + 32                                     2. plug in missing numbers
y = 28 + 32                                       3. multiply 4 and 7
y = 60                                               4. add 28 and 32 to get final answer

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Katyanochek1 [597]
We will use the sine and cosine of the sum of two angles, the sine and consine of \frac{\pi}{2}, and the relation of the tangent with the sine and cosine:

\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta

\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0

\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}

If you use those identities, for \alpha=x,\ \beta=\dfrac{\pi}{2}, you get:

\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x

\cos\left(x+\dfrac{\pi}{2}\right) = \cos x \cdot \cos\dfrac{\pi}{2} - \sin x\cdot\sin\dfrac{\pi}{2} = \cos x \cdot 0 - \sin x \cdot 1 = -\sin x

Hence:

\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x
3 0
3 years ago
Y=2x+3 <br> y=3x+1 <br> solve the system of equations using substitution
Lynna [10]

Answer:

(2, 7 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = 3x + 1 → (2)

Substitute y = 3x + 1 into (1)

3x + 1 = 2x + 3 ( subtract 2x from both sides )

x + 1 = 3 ( subtract 1 from both sides )

x = 2

Substitute x = 2 into either of the 2 equations for corresponding value of y

Substituting x = 2 into (1)

y = 2(2) + 3 = 4 + 3 = 7

Solution is (2, 7 )

4 0
3 years ago
Read 2 more answers
Find the equation of the exponential function represented by the table below:
IgorC [24]

Answer:

y=2^{1-x}

Step-by-step explanation:

<u>Exponential Function</u>

When we need to express the exponential relation between two variables, we use the equation

y=Cr^{x}

where C, r are constants to be determined by using the given points from the table

For x=0, y=2, thus

2=C.r^{0}=C

We find that C=2

The equation is now

y=2r^{x}

Now we use the point x=1, y=1

1=2r

We find that

\displaystyle r=\frac{1}{2}

Thus, the equation is

\displaystyle y=2\left(\frac{1}{2}\right)^{x}

Rearranging

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The required equation is

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7 0
3 years ago
Help please hurry i need done in 20 minutes
klemol [59]

Answer:

OKAY I WAS STRESSING FOR A QUICK MINUTE THINKING I WAS GETTING SOMETHING WRONG BUT THINK THE ANSWER IS CORRECT

So Cos0= 15/64 (SIMPLIFIED) or in decimal form 0.234375

Step-by-step explanation:

7/8² is 49/64 or (in decimal form) 0.765625

1 - 0.765625 = 0.234375

8 0
3 years ago
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Alisiya [41]
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5 0
3 years ago
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